Q78.The perpendicular bisector of the line segment joining P(1, 4) and Q(k, 3) has y-intercept - 4. Then a possible value of k is (1) 1 (2) 2 (3) โ2 (4) โ4
What This Question Tests
This question requires applying concepts of coordinate geometry to find the equation of a perpendicular bisector and then using its y-intercept to solve for an unknown coordinate.
Concepts Tested
Formulas Used
Midpoint: ((x1+x2)/2, (y1+y2)/2)
Slope m = (y2-y1)/(x2-x1)
Perpendicular slopes m1*m2 = -1
Equation of line: y - y1 = m(x - x1)
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๐ Question Details
- Chapter
- Coordinate Geometry
- Topic
- Straight Lines
- Year
- 2008
- Shift
- Unknown
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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